Beta PDF
From CFD-Wiki
(Difference between revisions)
ChierBasal (Talk | contribs) m (erbogetdelri) |
m (Reverted edits by ChierBasal (Talk) to last version by Hannes79) |
||
| Line 1: | Line 1: | ||
| - | |||
A <math> \beta </math> [[probability density function]] depends on | A <math> \beta </math> [[probability density function]] depends on | ||
two moments only; the mean <math> \mu </math> and the variance <math> \sigma </math>. | two moments only; the mean <math> \mu </math> and the variance <math> \sigma </math>. | ||
Latest revision as of 10:05, 17 December 2008
A 
probability density function depends on
two moments only; the mean 
and the variance 
.
This function is widely used in turbulent combustion to define the scalar distribution at each
computational point as a function of the mean and variance.
Assuming that the sample space of the scalar varies betwen 0 and 1.
The beta function PDF has the form
where 
is the gamma function and the parameters
and are related through
where 
is
